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In this paper, the robustness of reverse triple I algorithms based on interval-valued fuzzy inference is discussed. As corollaries of the main results, the sensitivities of interval-valued R -type [ α , β ] -reverse triple I solutions based on three well-known interval-valued residuated implication operators are given. [ABSTRACT FROM AUTHOR]

In this paper, a new full implication algorithm based on interval-valued fuzzy inference which extends the triple I principle for fuzzy inference based on fuzzy modus ponens and fuzzy modus tollens to the case of interval-valued fuzzy sets is presented. We first give the corresponding interval-valued R -type triple I solutions and then investigate the robustness of triple I algorithms based on interval-valued fuzzy sets for fuzzy inference. The sensitivity of some special algorithms based on four important interval-valued residuated implication is given. It is shown that the robustness of interval-valued full implication algorithms for fuzzy inference directly depends on the selection of interval-valued fuzzy connectives. [ABSTRACT FROM AUTHOR]